13421070835200 has 1920 divisors, whose sum is σ = 58806557568000. Its totient is φ = 2995194101760.

The previous prime is 13421070835181. The next prime is 13421070835253. The reversal of 13421070835200 is 253807012431.

13421070835200 is a `hidden beast` number, since 1 + 3 + 42 + 10 + 7 + 0 + 83 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5097253084 + ... + 5097255716.

It is an arithmetic number, because the mean of its divisors is an integer number (30628415400).

Almost surely, 2^{13421070835200} is an apocalyptic number.

13421070835200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13421070835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29403278784000).

13421070835200 is an abundant number, since it is smaller than the sum of its proper divisors (45385486732800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13421070835200 is an equidigital number, since it uses as much as digits as its factorization.

13421070835200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 13421070835200 its reverse (253807012431), we get a palindrome (13674877847631).

The spelling of 13421070835200 in words is "thirteen trillion, four hundred twenty-one billion, seventy million, eight hundred thirty-five thousand, two hundred".